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36264 = 2331511

36264 has 16 divisors (see below), whose sum is σ = 90720. Its totient is φ = 12080.

The previous prime is 36263. The next prime is 36269. The reversal of 36264 is 46263.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36264.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36264.

It is not an unprimeable number, because it can be changed into a prime (36263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 732 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

236264 is an apocalyptic number.

It is an amenable number.

36264 is an abundant number, since it is smaller than the sum of its proper divisors (54456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

36264 is a wasteful number, since it uses less digits than its factorization.

36264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 36264 is about 190.4310898987. The cubic root of 36264 is about 33.0997897657.

Adding to 36264 its product of digits (864), we get a triangular number (37128 = T272).

Subtracting 36264 from its reverse (46263), we obtain a palindrome (9999).

It can be divided in two parts, 36 and 264, that added together give a triangular number (300 = T24).

The spelling of 36264 in words is "thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1511 3022 4533 6044 9066 12088 18132 36264